On the accurate simulation of nearshore and dam break problems involving dispersive breaking waves

Carmo, José Simão Antunes do; Ferreira, J. A.; Pinto, Luís

doi:10.1016/j.wavemoti.2018.11.008

Cited by 11 publications

(13 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(6) Development, v. 9, n. 10, e5019108409, 2020 (CC BY 4.0) | ISSN 2525-3409 | DOI: http://dx.doi.org/10.33448/rsd-v9i10.8409 18 7where . clearly of lesser quality (see also Antunes do Carmo et al, 2019). This example highlights, Development, v. 9, n. 10, e5019108409, 2020 (CC BY 4.0) | ISSN 2525-3409 | DOI: http://dx.doi.org/10.33448/rsd-v9i10.8409 once again, the need to make a prior analysis of the physical phenomena that are intended to be reproduced before using a numerical model.…”

Section: Phenomenonmentioning

confidence: 88%

Numerical modelling and its physical modelling support in Civil Engineering

Carmo

2020

RSD

Self Cite

View full text Add to dashboard Cite

Currently, there is a progressive divestment of some institutions with strong traditions and skills in physical modelling and their consequent impoverishment, to the detriment of numerical modelling. For many reasons, the economic imperatives and the exponential growth of computational means and numerical methods should certainly not be excluded. In this work, the author aimed to highlight the new requirements of the recent sophisticated developments in physical modelling, precisely due to the new needs imposed on them by mathematical and numerical modelling and the growing risks in civil construction works. In this context, reflections are reported, justified by scientific and real-world examples, on the need for maintenance and reinforcement of investments in physical modelling, both to support the scientific community and to design buildings of significant economic, social and environmental impact.

show abstract

Section: Phenomenonmentioning

confidence: 88%

Numerical modelling and its physical modelling support in Civil Engineering

Carmo

2020

RSD

Self Cite

View full text Add to dashboard Cite

show abstract

“…There are many numerical methods for the Serre equations that are capable of modeling flows over dry beds. [8][9][10][11] The most popular approach for solving the Serre equations is to split the Serre equations into their hyperbolic part given by the SWWE and their dispersive part. 8,10,11 Additionally, these splitting schemes simulate wave-breaking by solving only the hyperbolic part when some local wave breaking criteria is met.…”

Section: F I G U R Ementioning

confidence: 99%

“…Hence, numerical methods in the literature have relied on experimental results to demonstrate their capability in these situations. [8][9][10][11] Unfortunately experimental comparisons do not reveal the convergence and accuracy of a numerical scheme.…”

Section: F I G U R Ementioning

confidence: 99%

“…The modified reconstruction of h,h depends on the reconstructions w ± j+1∕2 of w at the cell edge, which is calculated from its cell average values in the same way as h and G, (11). From these reconstructions the bed values…”

Section: Modified Reconstruction Of Hmentioning

confidence: 99%

“…The spatial resolution of the method was varied so that Δx = 100∕2 k m with k ∈ [8, … , 17] and the CFL condition (21) was satisfied by having Δt = CrΔx∕ √ g with condition number Cr = 0.5. The generalized limiter parameter = 1.2 was used in (11). Dirichlet boundary conditions were used at both ends as the analytic solution is stationary.…”

Section: Lake At Rest Solution Validationmentioning

confidence: 99%

See 2 more Smart Citations

Solving the fully nonlinear weakly dispersive Serre equations for flows over dry beds

Pitt

Zoppou

Roberts

2020

Numerical Methods in Fluids

View full text Add to dashboard Cite

We describe a numerical method for solving the Serre equations that can simulate flows over dry bathymetry. The method solves the Serre equations in conservation law form with a finite volume method. A finite element method is used to solve the auxiliary elliptic equation for the depth-averaged horizontal velocity. The numerical method is validated against the lake at rest analytic solution, demonstrating that it is well-balanced. Since there are currently no known nonstationary analytical solutions to the Serre equation that involve bathymetry, a nonstationary forced solution, involving bathymetry was developed. The method was further validated and its convergence rate established using the developed nonstationary forced solution containing the wetting and drying of bathymetry. Finally, the method is also validated against experimental results for the run-up of a solitary wave on a sloped beach. The finite-volume finite-element approach to solving the Serre equation was found to be accurate and robust.

show abstract

Undular and broken surges in dam-break flows: a review of wave breaking strategies in a Boussinesq-type framework

Castro-Orgaz

Chanson

2020

Environ Fluid Mech

View full text Add to dashboard Cite

The water waves resulting from the collapse of a dam are important unsteady free surface flows in civil and environmental engineering. Considering the basic case of ideal dam break waves in a horizontal and rectangular channel the wave patterns observed experimentally depends on the initial depths downstream (hd) and upstream (ho) of the dam. For r = hd/ho above the transition domain 0.4-0.55, the surge travelling downstream is undular, a feature described by the dispersive Serre-Green-Naghdi (SGN) equations. In contrast, for r below this transition domain, the surge is broken and it is well described by the weak solution of the Saint Venant equations, called Shallow Water Equations (SWE). Hybrid models combining SGN-SWE equations are thus used in practice, typically implementing wave breaking modules resorting to several criteria to define the onset of breaking, frequently involving case-dependent calibration of parameters. In this work, a new set of higher-order depth-averaged non-hydrostatic equations is presented. The equations consist in the SGN equations plus additional higher-order contributions originating from the variation with elevation of the velocity profile, modeled here with a Picard iteration of the potential flow equations. It is demonstrated that the higher-order terms confer wave breaking ability to the model without using any empirical parameter, such while, for r > 0.4-0.55, the model results are essentially identical to the SGN equations but, for r < 0.4-0.55, wave breaking is automatically accounted for, thereby producing broken waves as part of the solution. The transition from undular to broken surges predicted by the high-order equations is gradual and in good agreement with experimental observations. Using the solution of the new higher-order equations it was further developed a new wave breaking index based on the acceleration at the free surface to its use in hybrid SGN-SWE models.

show abstract

On the accurate simulation of nearshore and dam break problems involving dispersive breaking waves

Cited by 11 publications

References 46 publications

Numerical modelling and its physical modelling support in Civil Engineering

Numerical modelling and its physical modelling support in Civil Engineering

Solving the fully nonlinear weakly dispersive Serre equations for flows over dry beds

Undular and broken surges in dam-break flows: a review of wave breaking strategies in a Boussinesq-type framework

Contact Info

Product

Resources

About